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20168618304 = 26317233753137
BaseRepresentation
bin10010110010001001…
…001011000101000000
31221001120210222002010
4102302021023011000
5312301131241204
613133151252520
71312540266312
oct226211130500
957046728063
1020168618304
11860a72849a
123aaa51a140
131b955c5093
14d948597b2
157d0976d89
hex4b224b140

20168618304 has 448 divisors, whose sum is σ = 62144672256. Its totient is φ = 5735448576.

The previous prime is 20168618303. The next prime is 20168618329. The reversal of 20168618304 is 40381686102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20168618303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147216124 + ... + 147216260.

Almost surely, 220168618304 is an apocalyptic number.

20168618304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20168618304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31072336128).

20168618304 is an abundant number, since it is smaller than the sum of its proper divisors (41976053952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20168618304 is a wasteful number, since it uses less digits than its factorization.

20168618304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 20168618304 in words is "twenty billion, one hundred sixty-eight million, six hundred eighteen thousand, three hundred four".